Pith Number

pith:IGBST5QR

pith:2015:IGBST5QRDOCZM4QRBM2BS4PBHK

not attested not anchored not stored refs pending

Critical fractional $p$-Laplacian problems with possibly vanishing potentials

Kanishka Perera, Marco Squassina, Yang Yang

arxiv:1504.01533 v1 · 2015-04-07 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IGBST5QRDOCZM4QRBM2BS4PBHK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:19:26.839691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

418329f6111b859672110b341971e13a80d068e97b52cbffc5e12cceea0c2005

Aliases

arxiv: 1504.01533 · arxiv_version: 1504.01533v1 · doi: 10.48550/arxiv.1504.01533 · pith_short_12: IGBST5QRDOCZ · pith_short_16: IGBST5QRDOCZM4QR · pith_short_8: IGBST5QR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IGBST5QRDOCZM4QRBM2BS4PBHK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 418329f6111b859672110b341971e13a80d068e97b52cbffc5e12cceea0c2005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "606de4a65cc1294039c5d0f01eb03e21a003961058640ac6baac6679e64e08e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-07T09:39:13Z",
    "title_canon_sha256": "bacdd92450c4e5ed835befc1fe5c3230dc4377b0436febaee789560a294ab679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01533",
    "kind": "arxiv",
    "version": 1
  }
}